Finite element simulation of a two-dimensional standing wave thermoacoustic engine

Anne de Jong; Ysbrand H. Wijnant; Andries de Boer

doi:10.1121/1.4798957

Finite element simulation of a two-dimensional standing wave thermoacoustic engine

Anne de Jong, Ysbrand H. Wijnant, Andries de Boer

Faculty of Engineering Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

452 Downloads (Pure)

Abstract

Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative

Original language	English
Title of host publication	Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I
Place of Publication	Montréal
Publisher	Acoustical Society of America
Pages	1-7
Number of pages	10
DOIs	https://doi.org/10.1121/1.4798957
Publication status	Published - 2 Jun 2013
Event	21st International Congress on Acoustics, ICA 2013 - Montréal, Montreal, Canada Duration: 2 Jun 2013 → 7 Jun 2013 Conference number: 21 http://www.ica2013montreal.org/

Publication series

Name
Publisher	Acoustical Society of America through the American Institute of Physics
Volume	19
ISSN (Print)	1939-800X

Conference

Conference	21st International Congress on Acoustics, ICA 2013
Abbreviated title	ICA
Country/Territory	Canada
City	Montreal
Period	2/06/13 → 7/06/13
Other	02-06-2013
Internet address	http://www.ica2013montreal.org/

Keywords

METIS-296981
IR-86712

Access to Document

10.1121/1.4798957

030002_1

Cite this

@inproceedings{a45fab8aad934148a572eecabfcf76d3,

title = "Finite element simulation of a two-dimensional standing wave thermoacoustic engine",

abstract = "Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative",

keywords = "METIS-296981, IR-86712",

author = "{de Jong}, Anne and Wijnant, {Ysbrand H.} and {de Boer}, Andries",

note = "Open access ; 21st International Congress on Acoustics, ICA 2013, ICA ; Conference date: 02-06-2013 Through 07-06-2013",

year = "2013",

month = jun,

day = "2",

doi = "10.1121/1.4798957",

language = "English",

publisher = "Acoustical Society of America",

pages = "1--7",

booktitle = "Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I",

address = "United States",

url = "http://www.ica2013montreal.org/",

}

de Jong, A, Wijnant, YH & de Boer, A 2013, Finite element simulation of a two-dimensional standing wave thermoacoustic engine. in Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I., 030002, Acoustical Society of America, Montréal, pp. 1-7, 21st International Congress on Acoustics, ICA 2013, Montreal, Canada, 2/06/13. https://doi.org/10.1121/1.4798957

Finite element simulation of a two-dimensional standing wave thermoacoustic engine. / de Jong, Anne; Wijnant, Ysbrand H.; de Boer, Andries.
Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I. Montréal: Acoustical Society of America, 2013. p. 1-7 030002.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Finite element simulation of a two-dimensional standing wave thermoacoustic engine

AU - de Jong, Anne

AU - Wijnant, Ysbrand H.

AU - de Boer, Andries

N1 - Conference code: 21

PY - 2013/6/2

Y1 - 2013/6/2

N2 - Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative

AB - Thermoacoustic engines use heat to produce acoustic power. The subject of this manuscript is modeling of thermoacoustic engines. A finite element simulation has been performed on a theoretical example of a two-dimensional standing wave thermoacoustic engine. The simulation solves the linearized Navier-Stokes equations in the frequency domain. The analysis is used to obtain the (thermo)acoustic eigenfrequencies and the corresponding mode shapes of the engine. The nonlinear eigenfrequency problem is solved using an iterative (modified) Newton-Raphson method. The engine starts to oscillate (onset) when a linear instability is present. An instability can be determined when the imaginary part of an eigenfrequency of the engine crosses zero and becomes negative

KW - METIS-296981

KW - IR-86712

U2 - 10.1121/1.4798957

DO - 10.1121/1.4798957

M3 - Conference contribution

SP - 1

EP - 7

BT - Proceedings ICA 2013, Montreal, Canada, 2-7 June 2013, Session 1aEA: Thermoacoustics I

PB - Acoustical Society of America

CY - Montréal

T2 - 21st International Congress on Acoustics, ICA 2013

Y2 - 2 June 2013 through 7 June 2013

ER -

Finite element simulation of a two-dimensional standing wave thermoacoustic engine

Abstract

Publication series

Conference

Keywords

Access to Document

Fingerprint

Cite this